1.5x^2-80x=0

Solution for 1.5x^2-80x=0 equation:

1.5x^2-80x=0

a = 1.5; b = -80; c = 0;
Δ = b2-4ac
Δ = -802-4·1.5·0
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-80}{2*1.5}=\frac{0}{3}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+80}{2*1.5}=\frac{160}{3}
=53+1/3
$